Ebba Carstensen becomes a well-respected artist during contemporary times and participates in many exhibitions. Throughout her lifetime, she receives many accolades in the form of large grants, being the first female member of the Decembrists and sitting on the Academic Council. After her death in 1967, the references to her work dry up, and she does not achieve the same degree of attention as, for example, her old schoolmates Jais Nielsen and Olaf Rude – or other members of the Decembrists.

Carstensen is represented at a number of art museums such as the National Gallery of Denmark, ARoS, Skive Art Museum, Vejle Art Museum, Esbjerg Art Museum and more. She receives the Eckersberg Medal and the Thorvaldsen Medal.